Within the canonical ensemble (CE), one can use the free energy \(F(V,T)\)  as a characteristic thermodynamic function of the volume \(V\)  and
temperature \(T\)  for a fixed particle number
\(N\) . Assuming the thermodynamic limit condition for our infinite
system, one can express \(F\)  in terms of that per particle [1]},
\(F(V,T)=Nf(\tilde{v},T)~,\) 
